Analysis Seminar

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The Defocusing Cubic Nonlinear Wave Equation in the Energy Super-Critical Regime

Speaker: Aynur Bulut, IAS

Location: Warren Weaver Hall 1302

Date: Thursday, December 8, 2011, 11 a.m.

Synopsis:

In this talk, we will discuss a series of recent works on the global well-posedness and scattering conjecture for the defocusing cubic nonlinear wave equation in the energy super-critical regime, that is dimensions five and higher. More precisely, using a concentration compactness approach we show that if a solution remains bounded in the critical Sobolev space throughout its maximal interval of existence then it is global and scatters.